Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:

Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!
1 and they split the other in half
Answer:

And the z score for 0.4 is

And then the probability desired would be:

Step-by-step explanation:
The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:


For this case we can assume that the population proportion have the following distribution
Where:


And we want to find this probability:

And we can use the z score formula given by:

And the z score for 0.4 is

And then the probability desired would be:

Answer:y=-1/4x-2
Step-by-step explanation: